Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media

DOI10.1007/s40096-020-00364-3zbMath1473.65233OpenAlexW3119399297MaRDI QIDQ2041184

B. Farnam, Y. Esmaeelzade Aghdam, Omid Nikan

Publication date: 15 July 2021

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-020-00364-3

zbMATH Keywords

stabilityconvergenceChebyshev spectral collocationtwo-dimensional space-time diffusion equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Diffusion processes (60J60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (2)

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Cites Work

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• On the numerical solutions for the fractional diffusion equation
• Comparative study of three numerical schemes for fractional integro-differential equations
• The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation
• Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments
• A second-order accurate numerical method for the two-dimensional fractional diffusion equation
• A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A time-space collocation spectral approximation for a class of time fractional differential equations
• Error estimate of the MQ-RBF collocation method for fractional differential equations with Caputo-Fabrizio derivative
• A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
• Convergence analysis of the space fractional-order diffusion equation based on the compact finite difference scheme
• Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics
• Implicit difference approximation for the two-dimensional space-time fractional diffusion equation
• An Implicit Difference-ADI Method for the Two-dimensional Space-time Fractional Diffusion Equation
• Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
• Fractional Spectral Collocation Method

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